Language menu 11/18 + 1/6 = ? adding Ordinary (Simple, Common) math Fractions Calculator, addition Explained action by action


You are watching: 11/18-1/6 in simplest form

Reduce (simplify) fountain to their lowest state equivalents:

To minimize a fraction: divide the numerator and also denominator by your greatest typical factor, GCF.
Fraction: 11/18 already reduced come the lowest terms. The numerator and also denominator have no usual prime factors. Their prime factorization: 11 is a element number; 18 = 2 × 32; gcf (11; 2 × 32) = 1;
reduce (simplify) fountain to their easiest form, digital calculator

To run fractions, develop up their denominators the same.

Calculate LCM, the least typical multiple the the platform of the fractions:

LCM will certainly be the common denominator that the fractions the we job-related with.
The prime factorization of the denominators: 18 = 2 × 32; 6 = 2 × 3; Multiply all the distinct prime factors, by the largest exponents: LCM (18; 6) = 2 × 32 = 18
Divide LCM by the molecule of every fraction. For fraction: 11/18 is 18 ÷ 18 = 1; for fraction: 1/6 is 18 ÷ 6 = (2 × 32) ÷ (2 × 3) = 3;
Expand each fraction - main point the numerator and also denominator by the widening number. Then work-related with the molecule of the fractions.
11/18 + 1/6 = (1 × 11)/(1 × 18) + (3 × 1)/(3 × 6) = 11/18 + 3/18 = (11 + 3)/18 = 14/18

Reduce (simplify) the portion to that is lowest state equivalent:

To alleviate a fraction: divide the numerator and also denominator by your greatest typical factor, GCF.

Calculate the greatest typical factor, GCF.


calculation the greatest common factor, GCF, by multiplying all the typical prime components of the numerator and denominator, by the lowest exponents: gcf (14; 18) = gcf (2 × 7; 2 × 32) = 2;

Fraction have the right to be decreased (simplified).

Divide both the numerator and also denominator by their greatest usual factor, GCF:
14/18 = (2 × 7)/(2 × 32) = ((2 × 7) ÷ 2)/((2 × 32) ÷ 2) = 7/32 = 7/9
0.777777777778 = 0.777777777778 × 100/100 = (0.777777777778 × 100)/100 = 77.777777777778/100 ≈ 77.777777777778% ≈ 77.78%

As a hopeful proper portion (numerator 11/18 + 1/6 = 7/9

As a decimal number: 11/18 + 1/6 ≈ 0.78

As a percentage: 11/18 + 1/6 ≈ 77.78%

More to work of this kind:

just how to subtract the plain fractions: - 14/28 - 3/14

Writing numbers: comma "," supplied as a thousands separator; suggest "." offered as a decimal mark; number rounded come max. 12 decimals (whenever the case); Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

Add ordinary fractions, digital calculator

Enter plain fractions come add, ie: 6/9 + 8/-36 - 12/90:

The latest added fractions


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watch more... Included fractions

There space two cases regarding the denominators when we include ordinary fractions:

A. The fractions have like denominators; B. The fractions have unlike denominators.

A. Exactly how to add ordinary fractions that have like denominators?

Simply include the numerators of the fractions. The denominator the the resulting portion will be the typical denominator the the fractions. Mitigate the result fraction.

An example of including ordinary fractions that have like denominators, through explanations

3/18 + 4/18 + 5/18 = (3 + 4 + 5)/18 = 12/18; us simply added the molecule of the fractions: 3 + 4 + 5 = 12; The denominator of the resulting fraction is: 18; The resulting portion is gift reduced: 12/18 = (12 ÷ 6)/(18 ÷ 6) = 2/3.

B. To add fractions with different denominators (unlike denominators), construct up the fractions to the exact same denominator. Exactly how is that done?

1. Reduce the fractions to the lowest state (simplifying). Factor the numerator and the denominator the each portion down come prime components (prime factorization). Calculation GCF, the greatest common factor (also dubbed GCD, greatest common divisor, HCF, greatest typical factor) of every fraction"s numerator and also denominator. GCF is the product of every the unique common prime components of the numerator and the denominator, take away by the shortest exponents. Division the numerator and the denominator of each fraction by your greatest typical factor, GCF - after ~ this procedure the fraction is diminished to its lowest terms equivalent. 2. Calculation the least usual multiple, LCM, of all the fractions" new denominators: LCM is walk to be the typical denominator the the added fractions. Aspect all the brand-new denominators of the diminished fractions (run the prime factorization). The least common multiple, LCM, is the product of all the distinct prime components of the denominators, take away by the biggest exponents. 3. Calculate each fraction"s expanding number: The expanding number is the non-zero number that will be used to main point both the numerator and the denominator of every fraction, in bespeak to construct all the fractions as much as the same common denominator. Divide the least usual multiple, LCM, calculated above, by every fraction"s denominator, in stimulate to calculation each fraction"s broadening number. 4. Expand each fraction: Multiply each fraction"s both numerator and denominator by broadening number. At this point, fractions are accumulated to the exact same denominator. 5. Include the fractions: In stimulate to include all the fountain simply add all the fractions" numerators. The end portion will have actually as a denominator the least usual multiple, LCM, calculate above. 6. Mitigate the end fraction to the lowest terms, if needed. ... Review the remainder of this article, here: how to include ordinary (common) fractions?


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(1) What is a fraction? fractions types. Just how do they compare?

(2) Fractions an altering form, expand and reduce (simplify) fountain

(3) reduce fractions. The greatest common factor, GCF

(4) how to, comparing two fractions with unlike (different) numerators and denominators

(5) Sorting fountain in ascending stimulate

(6) adding ordinary (common, simple) fractions

(7) Subtracting ordinary (common, simple) fractions

(8) Multiplying plain (common, simple) fountain

(9) Fractions, theory: rational number